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Finding the Fourth Proportional to 412,147.48, 569,041.09 and 257,334.51

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Solution

The fourth proportional to 412,147.48, 569,041.09 and 257,334.51 is: 355,294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,147.48 : 569,041.09 = 257,334.51 : x
  2. Step 2: Convert to fraction form
    412,147.48/569,041.09 = 257,334.51/x
  3. Step 3: Cross multiply
    412,147.48x = 569,041.09 × 257,334.51
  4. Step 4: Simplify right side
    412,147.48x = 146,433,912,422.04
  5. Step 5: Solve for x
    x = 146,433,912,422.04/412,147.48
  6. Step 6: Final answer
    x = 355,294.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.